English

Inhomogeneous dual Diophantine approximation on affine subspaces

Number Theory 2017-11-27 v1 Dynamical Systems

Abstract

We prove the convergence and divergence cases of an inhomogeneous Khintchine-Groshev type theorem for dual approximation restricted to affine subspaces in Rn\mathbb{R} ^n. The divergence results are proved in the more general context of Hausdorff measures.

Keywords

Cite

@article{arxiv.1711.08559,
  title  = {Inhomogeneous dual Diophantine approximation on affine subspaces},
  author = {Victor Beresnevich and Arijit Ganguly and Anish Ghosh and Sanju Velani},
  journal= {arXiv preprint arXiv:1711.08559},
  year   = {2017}
}
R2 v1 2026-06-22T22:54:43.478Z